Question

Zad. Zapisz w jak najprostszej postaci:

a) √2(√5-2√5)=

b) ½∛9(∛3+5∛)=

c) (½√2+¼√2)²=

d) (3∛2-∛-2)³=

Answer 1

Zad. Zapisz w jak najprostszej postaci:

a) √2(√5-2√5)=

= √2*(-√5) =

= - √(2*5)=

= - √10

 

b) ½∛9(∛3+5∛3)=

= ½∛9*4∛3 =

= 2∛(3*3)*∛3 =

= 2*(∛3)²*∛3 =

= 2*(∛3)³ =

= 2*3 =

= 6

 

c) (½√2+¼√2)²=

 =( (2/4)√2 + ¼√2)² =

= (¾√2)² =

= (¾)²*(√2)² =

= (9/16)*2 =

= 9/8 =

= 1⅛

 

d) (3∛2-∛-2)³=

= (3∛2 + ∛2)³ =

= (4∛2)³ =

= 4³*(∛2)³ =

= 64*2 =

= 128